Chapter 6 - Systems of Equations and Inequalities - Get Ready! - Page 361: 2

$p=1$

We start with the given equation: $3p+1=-p+5$ We add $p-1$ to both sides of the equation: $3p+1+p-1=-p+5+p-1$ We combine like terms: $4p=4$ We divide by $4$ on each side of the equation: $$\frac{4p}{4}=\frac{4}{4}$$$$p=1$$